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Finding the Fourth Proportional to 723,686.91, 998,034.21 and 451,779.93

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Solution

The fourth proportional to 723,686.91, 998,034.21 and 451,779.93 is: 623,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,686.91 : 998,034.21 = 451,779.93 : x
  2. Step 2: Convert to fraction form
    723,686.91/998,034.21 = 451,779.93/x
  3. Step 3: Cross multiply
    723,686.91x = 998,034.21 × 451,779.93
  4. Step 4: Simplify right side
    723,686.91x = 450,891,825,531.41
  5. Step 5: Solve for x
    x = 450,891,825,531.41/723,686.91
  6. Step 6: Final answer
    x = 623,048.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.